Atkin-Lehner |
2+ 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768a |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1136640 |
Modular degree for the optimal curve |
Δ |
-1655485508473583616 = -1 · 211 · 315 · 314 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,190120,52984464] |
[a1,a2,a3,a4,a6] |
j |
371086275465556558/808342533434367 |
j-invariant |
L |
2.9563821109305 |
L(r)(E,1)/r! |
Ω |
0.18477388107199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45384a1 |
Quadratic twists by: -4 |